{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Logistic Regression with Metropolis-Hastings -- skeleton notebook for lab\n",
    "=="
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pylab as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate some data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x = np.random.randn(50,2)\n",
    "x[:25,:] += 1.5\n",
    "x[25:,:] += -1.5\n",
    "t = np.zeros((50,1))\n",
    "t[25:] += 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RrUDYjPNAetEyACBwzV54p7u3VzO56j++mt0P3+xBgFFdaOM4mBHxQRgAELhm91WH3Q8f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\nAACAjPv/EqVB5uDLxJMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fff1e50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "styles = ['ro','bo']\n",
    "classes = np.unique(t)\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def compute_log_prior(w,sig_sq):\n",
    "    lp = -(1.0/(2.0*sig_sq))*np.dot(w.T,w)\n",
    "    return lp.flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def compute_log_like(w,x,t):\n",
    "    pos0 = np.where(t==0)[0]\n",
    "    pos1 = np.where(t==1)[0]\n",
    "    P = 1.0/(1.0 + np.exp(-np.dot(x,w)))\n",
    "    return np.log(P[pos1]).sum() + np.log(1-P[pos0]).sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "jump_sig = 0.1\n",
    "sig_sq = 0.5\n",
    "w = np.vstack((0.0,0.0))\n",
    "n_samples = 1000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Add metropolis here.\n",
    "\n",
    "Samples should be stored in `w_samples` which should have one row per sample (and two columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Do some plotting. First twenty random samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-5, 5)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AvqTDgdGRYMQQ/VD0P2VoLeHgQZ43ePz45jPkNIN3SQkGq1QY5eODsKbW3duA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\nv5mZWUFc/GZmZgX5Exw0pEonxlRaAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f804710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])\n",
    "\n",
    "# Pick 20 random ones\n",
    "for w_sample in np.random.permutation(w_samples)[:20]:\n",
    "#     Plot the line corresponding to w.Tx = 0\n",
    "    xv = np.array([-5,5])\n",
    "    yv = (-w_sample[1]/w_sample[0])*xv\n",
    "    plt.plot(xv,yv)\n",
    "plt.xlim([-5,5])\n",
    "plt.ylim([-5,5])\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the decision boundary. We will actually plot probability contours by making a big grid. To get these values, we have to take an expectation over the approximate posterior (the Laplacian) which we in turn approximate by sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gridX,gridY = np.meshgrid(np.arange(-5,5,0.1),np.arange(-5,5,0.1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Following performs the predictive expectation over the samples. I.e. predicts at every point in the grid for every sample and then averages over samples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "nr,nc = gridX.shape\n",
    "gx = np.reshape(gridX,(nr*nc,1))\n",
    "gy = np.reshape(gridY,(nr*nc,1))\n",
    "g = np.hstack((gx,gy))\n",
    "P = (1.0/(1+np.exp(np.dot(g,w_samples.T)))).mean(axis=1)\n",
    "P = np.reshape(P,(nr,nc))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x1102804d0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XsO4wJJnu6blpcsWayZTAHw+qY89UwmnKJX7joUl1ADTY4MRgPNiBLaW5xTBu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OAAAb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\nhBAuRAq/EEII4UL+D1SkgblRyqvzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1102afa50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])\n",
    "plt.contour(gridX,gridY,P)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
